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Finding the Fourth Proportional to 1,701.92, 2,552.89 and 469.46

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Solution

The fourth proportional to 1,701.92, 2,552.89 and 469.46 is: 704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.92 : 2,552.89 = 469.46 : x
  2. Step 2: Convert to fraction form
    1,701.92/2,552.89 = 469.46/x
  3. Step 3: Cross multiply
    1,701.92x = 2,552.89 × 469.46
  4. Step 4: Simplify right side
    1,701.92x = 1,198,479.74
  5. Step 5: Solve for x
    x = 1,198,479.74/1,701.92
  6. Step 6: Final answer
    x = 704.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.